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Finding the Fourth Proportional to 381,063.63, 571,595.70 and 96,775.50

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Solution

The fourth proportional to 381,063.63, 571,595.70 and 96,775.50 is: 145,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,063.63 : 571,595.70 = 96,775.50 : x
  2. Step 2: Convert to fraction form
    381,063.63/571,595.70 = 96,775.50/x
  3. Step 3: Cross multiply
    381,063.63x = 571,595.70 × 96,775.50
  4. Step 4: Simplify right side
    381,063.63x = 55,316,460,610.46
  5. Step 5: Solve for x
    x = 55,316,460,610.46/381,063.63
  6. Step 6: Final answer
    x = 145,163.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.